Asymptotic Behaviour of Solution for Fourth Order Wave Equation With Dispersive and Dissipative Terms

XU Run-zhang; ZHAO Xi-ren; SHEN Ji-hong

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(2): 235-238

XU Run-zhang, ZHAO Xi-ren, SHEN Ji-hong. Asymptotic Behaviour of Solution for Fourth Order Wave Equation With Dispersive and Dissipative Terms[J]. Applied Mathematics and Mechanics, 2008, 29(2): 235-238.

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Asymptotic Behaviour of Solution for Fourth Order Wave Equation With Dispersive and Dissipative Terms

College of Science, Harbin Engineering University, Harbin 150001, P. R. China;
College of Automation, Harbin Engineering University, Harbin 150001, P. R. China

Received Date: 2007-08-15
Rev Recd Date: 2008-01-03
Publish Date: 2008-02-15

Abstract

Abstract

The initial boundary value problem of fourth order wave equation with dispersive and dissipative terms is studied.By using multiplier method,it was proven that the global strong solution of the problem decays to zero exponentially as the time approaches infinite,under a very simple and mild assumption regarding the nonlinear term.
- fourth order wave equation,
- dispersive,
- dissipative,
- asymptotic behaviour

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References(13)

References

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